C. G. J. Jacobi's Gesammelte Werke
Herausgegeben auf Veranlassung der königlich preussischen Akademie der Wissenschaften
Volume 2
£55.99
Part of Cambridge Library Collection - Mathematics
- Author: Carl Gustav Jacob Jacobi
- Editor: Karl Weierstrass
- Date Published: April 2013
- availability: Available
- format: Paperback
- isbn: 9781108059251
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One of the greatest mathematicians of the nineteenth century, Carl Gustav Jacob Jacobi (1804–51) burst into the limelight with his redevelopment, together with Niels Henrik Abel (1802–29), of the theory of elliptic functions. His pioneering work was characterised by the variety of problems tackled and the power of the tools used to tackle them. His lasting influence on rational mechanics, number theory, partial differential equations, complex variable theory and computation is marked by the number of fundamental concepts that bear his name (the Jacobian, the Jacobi sum and the Jacobi symbol, among others). His collected works, comprising treatises, letters and papers written in German, Latin and French, were published in eight volumes between 1881 and 1891. Edited by fellow German mathematician Karl Weierstrass (1815–97), Volume 2 appeared in 1882.
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- Date Published: April 2013
- format: Paperback
- isbn: 9781108059251
- length: 540 pages
- dimensions: 297 x 210 x 28 mm
- weight: 1.28kg
- availability: Available
Table of Contents
1. De theoremate Abeliano observatio
2. Considerationes generales de transcendentibus Abelianis
3. Ueber die Figur des Gleichgewichts
4. De functionibus duarum variabilium quadrupliciter periodicis
5. De usu theoriae integralium ellipticorum et integralium Abelianorum in analysi Diophantea
6. Note von der geodätischen Linie auf einem Ellipsoid
7. Demonstratio nova theorematis Abeliani
8. Ueber die Additions theoreme der Abelschen Integrale zweiter und dritter Gattung
9. Note sur les fonctions Abéliennes
10. Extrait de deux lettres de Ch. Hermite à C. G. J. Jacobi
11. Extrait d'une lettre de Jacobi adressé à Hermite
12. Ueber die Vertauschung von Parameter und Argument bei der dritten Gattung der Abelschen und höheren Transcendenten
13. Ueber eine neue Methode zur Integration
14. Notiz über A. Göpel
15. Ueber die unmittelbare Verification einer Fundamentalformel der Theorie der elliptischen Functionen
16. Ueber die partielle Differentialgleichung
17. Ueber die Differentialgleichung
18. Ueber eine particuläre Lösung der partiellen Differentialgleichung
19. Ueber unendliche Reihen
20. Sur la rotation d'un corps
21. Auszug eines Schreibens von C. G. J. Jacobi an E. Heine
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